Write the Partial Fraction Decomposition of the Rational Expression $$\frac { 14 x ^ { 2 } - 48 x - 54 } { x ( x - 6 ) ( x + 3 ) }$$

question 86

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- $$\frac { 14 x ^ { 2 } - 48 x - 54 } { x ( x - 6 ) ( x + 3 ) }$$

• A) \(\frac { 3 } { x } + \frac { 3 } { x - 6 } + \frac { 8 } { x + 3 }\)
• B) \(\frac { 3 } { x } + \frac { 4 } { x - 6 } + \frac { 7 } { x + 3 }\)
• C) \(\frac { 3 } { x } + \frac { 2 } { x - 6 } + \frac { 9 } { x + 3 }\)
• D) \(\frac { x + 3 } { x ^ { 2 } - 6 } + \frac { 8 } { x + 3 }\)

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